Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

Chosen Fixed Point

Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.

#	Theory	Superpotential	Central charge $a$	Central charge $c$	Ratio $a/c$	Matter field: $R$-charge	U(1) part of $F_{UV}$	Rank of $F_{UV}$	Rational
57374	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$	1.4756	1.6805	0.8781	[X:[1.3492], M:[0.9524, 0.6746], q:[0.5238, 0.5], qb:[0.5238, 0.5], phi:[0.3254]]	[X:[[0, 0, 2]], M:[[0, 0, -6], [0, 0, 1]], q:[[-1, 0, 6], [0, -1, 0]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$	-1	t^2.024 + t^2.857 + t^2.929 + t^3. + 2*t^3.071 + 4*t^4.048 + t^4.119 + t^4.881 + 2*t^4.952 + 3*t^5.024 + 3*t^5.095 + 2*t^5.548 + 2*t^5.619 + t^5.715 + t^5.786 + 2*t^5.857 + t^5.929 - t^6. + 4*t^6.071 + 4*t^6.143 + 2*t^6.524 + 2*t^6.595 + 2*t^6.905 + 3*t^6.976 + 5*t^7.048 + 10*t^7.119 + 2*t^7.19 + 2*t^7.429 + 2*t^7.571 + 4*t^7.643 + t^7.738 + 2*t^7.81 + 3*t^7.881 + 3*t^7.952 + t^8.024 + 12*t^8.095 + 8*t^8.166 + t^8.238 - 2*t^8.476 + t^8.572 + 6*t^8.619 + t^8.643 + 4*t^8.69 + 2*t^8.715 + 2*t^8.786 - t^8.857 + 2*t^8.929 + t^8.929/y^2 - t^3.976/y - t^4.952/y - t^6./y - t^6.834/y - t^6.905/y - (2*t^6.976)/y - (2*t^7.048)/y - t^7.81/y + t^7.952/y - (2*t^8.024)/y + (2*t^8.095)/y + t^8.786/y + (2*t^8.929)/y - t^3.976*y - t^4.952*y - t^6.*y - t^6.834*y - t^6.905*y - 2*t^6.976*y - 2*t^7.048*y - t^7.81*y + t^7.952*y - 2*t^8.024*y + 2*t^8.095*y + t^8.786*y + 2*t^8.929*y + t^8.929*y^2	g3*t^2.024 + t^2.857/g3^6 + t^2.929/g3^3 + t^3. + (g1*t^3.071)/g2 + (g2*g3^6*t^3.071)/g1 + (g1*t^4.048)/(g2*g3) + 2*g3^2*t^4.048 + (g2*g3^5*t^4.048)/g1 + g3^5*t^4.119 + t^4.881/g3^5 + (2*t^4.952)/g3^2 + (g1*t^5.024)/(g2*g3^2) + g3*t^5.024 + (g2*g3^4*t^5.024)/g1 + (g1*g3*t^5.095)/g2 + g3^4*t^5.095 + (g2*g3^7*t^5.095)/g1 + (g1*g2^2*t^5.548)/g3 + (g3^5*t^5.548)/(g1*g2^2) + (g1^2*g2*t^5.619)/g3 + (g3^11*t^5.619)/(g1^2*g2) + t^5.715/g3^12 + t^5.786/g3^9 + (2*t^5.857)/g3^6 + t^5.929/g3^3 - 3*t^6. + (g1*t^6.)/(g2*g3^3) + (g2*g3^3*t^6.)/g1 + (g1*t^6.071)/g2 + 2*g3^3*t^6.071 + (g2*g3^6*t^6.071)/g1 + (g1^2*t^6.143)/g2^2 + 2*g3^6*t^6.143 + (g2^2*g3^12*t^6.143)/g1^2 + (g1*g2^2*t^6.524)/g3^2 + (g3^4*t^6.524)/(g1*g2^2) + (g1^2*g2*t^6.595)/g3^2 + (g3^10*t^6.595)/(g1^2*g2) + (2*t^6.905)/g3^4 + (g1*t^6.976)/(g2*g3^4) + t^6.976/g3 + (g2*g3^2*t^6.976)/g1 + (g1*t^7.048)/(g2*g3) + 3*g3^2*t^7.048 + (g2*g3^5*t^7.048)/g1 + (g1^2*t^7.119)/(g2^2*g3) + (2*g1*g3^2*t^7.119)/g2 + 4*g3^5*t^7.119 + (2*g2*g3^8*t^7.119)/g1 + (g2^2*g3^11*t^7.119)/g1^2 + (g1*g3^5*t^7.19)/g2 + (g2*g3^11*t^7.19)/g1 + t^7.429/(g2^3*g3^3) + (g2^3*t^7.429)/g3^3 - (g1^2*g2*t^7.5)/g3^6 + (g1*g2^2*t^7.5)/g3^3 + (g3^3*t^7.5)/(g1*g2^2) - (g3^6*t^7.5)/(g1^2*g2) + (g1^2*g2*t^7.571)/g3^3 + (g3^9*t^7.571)/(g1^2*g2) + g1^2*g2*t^7.643 + (g1^3*t^7.643)/g3^3 + (g3^12*t^7.643)/(g1^2*g2) + (g3^15*t^7.643)/g1^3 + t^7.738/g3^11 + (2*t^7.81)/g3^8 + (3*t^7.881)/g3^5 + (g1*t^7.952)/(g2*g3^5) + t^7.952/g3^2 + (g2*g3*t^7.952)/g1 + (2*g1*t^8.024)/(g2*g3^2) - 3*g3*t^8.024 + (2*g2*g3^4*t^8.024)/g1 + (2*g1^2*t^8.095)/(g2^2*g3^2) + (g1*g3*t^8.095)/g2 + 6*g3^4*t^8.095 + (g2*g3^7*t^8.095)/g1 + (2*g2^2*g3^10*t^8.095)/g1^2 + (g1^2*g3*t^8.166)/g2^2 + (2*g1*g3^4*t^8.166)/g2 + 2*g3^7*t^8.166 + (2*g2*g3^10*t^8.166)/g1 + (g2^2*g3^13*t^8.166)/g1^2 + g3^10*t^8.238 - (g1^2*g2*t^8.476)/g3^7 + (g1*g2^2*t^8.476)/g3^4 - t^8.476/(g2^3*g3) - (g2^3*t^8.476)/g3 + (g3^2*t^8.476)/(g1*g2^2) - (g3^5*t^8.476)/(g1^2*g2) - (g1^3*t^8.548)/g3^7 + (g1^2*g2*t^8.548)/g3^4 + (g3^8*t^8.548)/(g1^2*g2) - (g3^11*t^8.548)/g1^3 + t^8.572/g3^18 + (2*g1^2*g2*t^8.619)/g3 + (g3^5*t^8.619)/g2^3 + g2^3*g3^5*t^8.619 + (2*g3^11*t^8.619)/(g1^2*g2) + t^8.643/g3^15 + (g1^3*t^8.69)/g3 + g1*g2^2*g3^5*t^8.69 + (g3^11*t^8.69)/(g1*g2^2) + (g3^17*t^8.69)/g1^3 + (2*t^8.715)/g3^12 + (2*t^8.786)/g3^9 - t^8.857/g3^6 + (g2*t^8.929)/g1 + (g1*t^8.929)/(g2*g3^6) + t^8.929/(g3^3*y^2) - t^3.976/(g3*y) - t^4.952/(g3^2*y) - t^6./y - t^6.834/(g3^7*y) - t^6.905/(g3^4*y) - (2*t^6.976)/(g3*y) - (g1*t^7.048)/(g2*g3*y) - (g2*g3^5*t^7.048)/(g1*y) - t^7.81/(g3^8*y) + t^7.952/(g3^2*y) - (g1*t^8.024)/(g2*g3^2*y) - (g2*g3^4*t^8.024)/(g1*y) + (g1*g3*t^8.095)/(g2*y) + (g2*g3^7*t^8.095)/(g1*y) + t^8.786/(g3^9*y) + (g2*t^8.929)/(g1*y) + (g1*t^8.929)/(g2*g3^6*y) - (t^3.976*y)/g3 - (t^4.952*y)/g3^2 - t^6.*y - (t^6.834*y)/g3^7 - (t^6.905*y)/g3^4 - (2*t^6.976*y)/g3 - (g1*t^7.048*y)/(g2*g3) - (g2*g3^5*t^7.048*y)/g1 - (t^7.81*y)/g3^8 + (t^7.952*y)/g3^2 - (g1*t^8.024*y)/(g2*g3^2) - (g2*g3^4*t^8.024*y)/g1 + (g1*g3*t^8.095*y)/g2 + (g2*g3^7*t^8.095*y)/g1 + (t^8.786*y)/g3^9 + (g2*t^8.929*y)/g1 + (g1*t^8.929*y)/(g2*g3^6) + (t^8.929*y^2)/g3^3

Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
58455	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.4651	1.6676	0.8786	[X:[1.36], M:[0.9199, 0.68], q:[0.5102, 0.445], qb:[0.57, 0.555], phi:[0.32]]	t^2.04 + t^2.76 + t^2.88 + t^3. + t^3.04 + t^3.2 + t^4. + 2*t^4.08 + t^4.16 + t^4.2 + t^4.8 + 2*t^4.92 + t^4.96 + t^5.04 + t^5.08 + t^5.12 + 2*t^5.16 + t^5.24 + t^5.36 + t^5.52 + t^5.64 + 2*t^5.76 + t^5.88 + t^5.92 - 2*t^6. - t^3.96/y - t^4.92/y - t^6./y - t^3.96*y - t^4.92*y - t^6.*y	detail
58454	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	1.3576	1.5534	0.8739	[X:[1.3903], M:[0.829, 0.6952], q:[0.4188, 0.6382], qb:[0.7522, 0.3618], phi:[0.3048]]	t^2.09 + t^2.34 + t^2.49 + t^2.74 + t^3. + t^3.26 + 4*t^4.17 + 2*t^4.43 + t^4.57 + t^4.68 + 2*t^4.83 + t^4.97 + 3*t^5.09 + t^5.23 + 4*t^5.34 + 2*t^5.49 + t^5.6 + t^5.74 + t^6. - t^3.91/y - t^4.83/y - t^6./y - t^3.91*y - t^4.83*y - t^6.*y	detail

Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
47893	SU3adj1nf2	${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	1.4759	1.6818	0.8776	[X:[1.3444], M:[0.9513, 0.6879], q:[0.5244, 0.4922], qb:[0.5244, 0.4922], phi:[0.3278]]	t^2.064 + t^2.854 + t^2.95 + t^2.953 + 2*t^3.05 + 3*t^4.033 + t^4.127 + t^4.13 + t^4.917 + t^4.92 + t^5.014 + 3*t^5.017 + 3*t^5.113 + 2*t^5.51 + 2*t^5.606 + t^5.708 + t^5.804 + t^5.807 + t^5.901 + t^5.903 + t^5.906 - 2*t^6. - t^3.983/y - t^4.967/y - t^3.983*y - t^4.967*y	detail